Answer:
It will be the first option.
Step-by-step explanation:
Why? because you are trying to get the total amount so you need to cancel everything and have the final answer.
and it will be like this:
(600+40)x=2400
x=2400÷ 640
x=3.75
and if you round it; x=4
Which expression is equivalent to 243 ?
1
23
23/3
216
23/6
Answer:
B.
Step-by-step explanation:
[tex]24^{\frac{1}{3} }[/tex]
=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]
=> [tex](2^3*3)^{\frac{1}{3} }[/tex]
=> [tex]2\sqrt[3]{3}[/tex]
If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are two triangles necessarily congruent ? Why?
Answer:
the two triangles are congruent because they have the same sides and angles.
Answer:
Yes, they are congruent. Because the sides and the angles are the same.
Step-by-step explanation:
Need help with this Pls!! Show work
Answer:
2200[tex]\pi[/tex] cm
Step-by-step explanation:
V= [tex]\pi[/tex]r²h
V= [tex]\pi[/tex](10)²22. Since it is filled 3 cm from the top, you can subtract 3 from the height
V= [tex]\pi[/tex](100)(22)
V= 2200[tex]\pi[/tex] cm
A 74-inch rake is leaning against a wall. The top of the rake hits the wall 70 inches above the ground. How far is the bottom of the rake from the base of the wall?
Answer:24
Step-by-step explanation:
By Pythagoras
a^2=b^2 +c^2
74^2-70^2=c^2
C=√576
C=24
John bought a new home in 2002. The value of the home increases 4% each year. If the price of the house is $375,000 in 2020, how much did he pay for it in 2002?
Dana has to pay 25% tax on any income above £24,000 per year. Dana is paid £36,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£2,750
Step-by-step explanation:
Tax rule: 25% tax on any income above £24,000 per year
It means that upto £24,000 there is no tax and the amount above £24,000
is taxable.
Annual payment of Dana = £36,000
Hence, she will be taxed only on amount above £24,000 out of £36,000.
Lets find amount above £24,000 = £36,000- £24,000 = £12,000
Tax on £12,000 = 25% of £12,000 = 25/100 * £12,000 = £3,000
Thus, £3,000 will be deducted as tax annually out of total earning of £36,000.
Amount paid to Dana after deduction of tax annually = £36,000 - £3,000
Amount paid to Dana after deduction of tax annually is £33,000
As one year has 12 months , hence it can be also said that in 12 months she is paid £33,000
the amount of money she receives after tax in 12 month = £33,000
Dividing LHS and RHS by 12
The amount of money she receives after tax in 12/12 month = £33,000/12
The amount of money she receives after tax in 1 month = £2,750
The amount of money Dana receives after tax each month is £2,750.
Which equation can be used to solve for in the following diagram?
3.
30°
Choose 1 answer:
3x = 30
© 3.r +30 +90 = 180
3x + 30 = 90
90 3.2 - 30
Answer:
[tex] \boxed{3x\degree = 30\degree} [/tex]
Explanation:
Vertically opposite angles are equal.
Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
What is the horizontal distance from Mike to the kite?
The horizontal distance from Mike to the kite will be 12 feet.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
Now,
Since, Mike is flying a kite with a string that is 20 ft long is flying at a height of 16 ft.
Let the horizontal distance from Mike to the kite = x feet
Hence, We can formulate;
⇒ 20² = x² + 16²
⇒ 400 = x² + 256
⇒ x² = 400 - 256
⇒ x² = 144
⇒ x = 12 feet
Thus, The horizontal distance from Mike to the kite will be 12 feet.
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A certain virus is dying off at a rate of 18% per hour. Initially there were
40,000 grams of the strain. If this continues at this rate, how much of the
strain would still be alive after 48 hours? (Round your answer to the
nearest whole number.) *
Answer:
3 strain would still alive after 48 hours
Step-by-step explanation:
Initial population of virus = 40000 grams
A certain virus is dying off at a rate of 18% per hour.
We are supposed to find how much of the strain would still be alive after 48 hours
Formula : [tex]N(t)=N_0(1-r)^t[/tex]
[tex]N_0[/tex]=Initial population
N(t)= Population after t hours
r = rate of decrease = 18% = 0.18
t = time = 48 hours
So,the strain would still be alive after 48 hours=[tex]40000(1-0.18)^{48}=2.91 \sim 3[/tex]
Hence 3 strain would still alive after 48 hours
Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation? A)-1 B)2 C)1 D)-2
Answer:
Step-by-step explanation:
We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.
y = ±|a|(x - h)² + k
where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.
The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:
0 = ±|a|(3 - 0)² + 9 and
0 = ±|a|(3)² + 9 and
-9 = ±|a|9 and
-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is
[tex]y=-x^2+9[/tex] or in more detailed form:
[tex]y=-(x-0)^2+9[/tex]
Answer:
-2
Step-by-step explanation:
The sides of a polygon have lengths 5, 7, 8, 11, and 19 units. The perimeter of a similar polygon is 75 units. Find the lengths of the sides of the larger polygon
The perimeter of small polygon is 50 units. The length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.
What is polygon?
Polygon in geometry is "any closed curve consisting of set line segments connected such that two segment across".
According to the question,
Lengths of sides of polygon is 5 units, 7 units, 8 units, 11 units, and 19 units.
Formula for Polygon = sum of sides
Perimeter of first polygon = 5 + 7 + 8 + 11 +19
= 50 units.
Perimeter of second polygon = 75 units.
Divide second polygon by first polygon = 75/50 = 1.5 units
This conclude, second polygon is 1.5 units larger than first polygon.
In order to find the length of the sides of larger polygon by given, first polygon and second polygon are similar polygon multiply 1.5 units to the length sides of first Polygon.
5 * 1.5 = 7.5
7 * 1.5 = 10.5
8 * 1.5 = 12
11 * 1.5 = 16.5
19 * 1.5 = 28.5
Hence, the length of sides of the larger polygon is 7.5, 10.5, 12, 16.5, 28.5 units.
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please help with question tagged below
Answer:
1/3
Step-by-step explanation:
3×x=1
x= 1/3
What’s the answer to this question?
Answer:
h=2A/b
Step-by-step explanation:
Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.
NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!
Consider the triangles
What can be concluded about these triangles? Check
all that apply
O The corresponding angles are proportional
The ratios of the corresponding sides are
equivalent
The corresponding sides are congruent.
O The corresponding angles have the same measure
DE corresponds to IH
The corresponding angles have the same measure and the ratios of the corresponding sides are equivalent.
What are similar figures?Similar figures are figures that have the same shape and the ratio of their corresponding sides are proportional. Also, they have the same corresponding angles.
From the triangles, the corresponding angles have the same measure. Hence, they are similar and the ratios of the corresponding sides are equivalent.
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Answer:
hi im sorry im late, the answers would be:
1. The ratios of the corresponding sides are equivalent.
2. The corresponding angles have the same measure
3. DE corresponds to IH.
Step-by-step explanation: here's proof :)
have a good day!!
Find the area of the figure. Use 3.14 for Pi, and round your answer to the nearest tenth. Rectangle capped by a right triangle on one end and a semicircle on the other A rectangle topped by a semicircle and triangle. The rectangle has length 38 feet and width 24 feet. The triangle has side lengths 18 feet and 24 feet. The semicircle has diameter 24 feet. a. 1570.1 sq. ft b. 1354.1 sq. ft c. 1580.2 sq. ft d. None of these
Please help someone……………………
Answer:
I think it's number one
Step-by-step explanation:
Find the limit of the function by using direct substitution. limit as x approaches 0 of quantity x squared plus 4
Answer:
=4
Step-by-step explanation:
[tex]\lim _{x\to 0}\left(x^2+4\right)\\\mathrm{Plug\:in\:the\:value}\:x=0\\=0^2+4\\Simplify\\=4[/tex]
Lt (X^2+4)
x-0
= 0^2+4
= 4
What are the limits of mathematics?
math, a limit is defined as a value that approximates the output of the specified input value of the function. Limits are important in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. In mathematics, the limit is the value that the function approaches when the input approaches a particular value.
Boundaries are essential for calculus and mathematical analysis and are used to define continuity, derivatives, and integrals. 1a: What separates, limits, or limits the age limit for junior golf. b: I pushed her body to the limit. 2a: Geographical or political boundaries. b Plural borders: Surrounded by borders: The border to the northern border they came from-John Milton.
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What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
Answer:
D. h(x) = 4x + 48
I WILL GIVE YOU BRAINLIEST!!!!!
Answer:
Brainelist goes to me!
Step-by-step explanation:
-6/3 = -2
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{3-x}{x-6}[/tex] ← substitute x = 9 into the expression
= [tex]\frac{3-9}{9-6}[/tex]
= [tex]\frac{-6}{3}[/tex]
= - 2 → B
What is the area of a rectangle with length (3^2)^2 meters and width of 3^2 meters?
Answer:
729m^2
Step-by-step explanation:
Area of rectangle = length x width
From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)
width = 3^2 = 9.
Now for the area: length x width = 81 x 9 = 729m^2.
Please mark brainiest.
Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (negative 3, 0) and (negative 1, 4).
The rate of change shown in the graph is .
Answer:
1/2
Step-by-step explanation:
Answer:
The answer is 2
Step-by-step explanation:
I literally did it on edge 2020 and got it right.
What is 2x^2-13x+15?
Answer:
Step-by-step explanation:
Answer:
[tex] (2x - 3)(x - 5) \\ [/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - 13x + 15 \\ 2 {x}^{2} - 10x - 3x + 15 \\ 2x(x - 5) - 3(x - 5) \\ (2x - 3)(x - 5)[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
AOC is a straight line an dab the ratio of t he angles is: AOB: BOC: =4:11 what is the size of the angle AOB?
[tex]answer \\48 \\ solution \\ let \: the \: ratios \: of \: angles \: be \: 4x \: and \: 11x \\ 4x + 11x = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 15x = 180 \\ or \: x = \frac{180}{5} \\ x = 12 \\ again \\ < aob = 4x \\ \: \: \: \: \: = 4 \times 12 \\ \: \: \: \: \: \: \: \: \: \: = 48 \\ hope \: it \: helps[/tex]
Answer:
[tex]48 \: \: degrees[/tex]
Answer B is correct
Step-by-step explanation:
We know that,
Angels in a straight line = 180°
Let's get the ratio of angles as,
[tex] 4x: 11x[/tex]
Let's solve for x now.
[tex]4x + 11 = 180 \\ 15 = 180 \\ \frac{15x}{15} = \frac{180}{15} \\ x = 12 \\ [/tex]
Angle AOB = 4x
[tex]x = 12 \\ 4x = 12 \times 4 \\ = 48[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
please help i don’t understand what so ever
Answer:
x=6
Step-by-step explanation:
Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:
[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]
Hope this helps!
Answer:
6
Step-by-step explanation:
By Pythagoras theorem
10^2 = 8^2 + x^2
100= 64 + x^2
X^2 =100-64
X^2= 36
[tex]x = \sqrt{36} \\ x = 6[/tex]
Hope this helps..
Write a rational expression that simplifies to x-3,x≠1
Aswer:
[tex]\frac{(x-1)(x-3)}{x-1}[/tex]
Step-by-step explanation:
Answer:
x-3:m=1
Step-by-step explanation:
What is the theoretical probability of a bulb to be switched on?
Answer:
1/2
Step-by-step explanation:
Sample space, S = ON, OFF
⇒n(S) = 2
n(E) = ON = 1
P(E) = 1/2
Answer:
b
Step-by-step explanation:
bc
9x (-2y + 5x) - 4 xy (6x-3y) please the person who answers will be marked as brainliest. please show working
Answer:
See explanation
Step-by-step explanation:
[tex]9x(-2y+5x)-4xy(6x-3y)[/tex]
By the distributive property this is equal to:
[tex]9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2[/tex]
Hope this helps!
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
each time the step changes, the amount of vertices(points) increases by 1. the last number of points was 4, so if you increase 4 by 1 you will get 5. figure B has 5 points!
Answer:
Option B
Step-by-step explanation:
With the circle series, there is a figure with an increasing number of points that are on the circle.
Circle one has two dots, circle two has three dots, circle three has four dots, etc.
It would make the most sense if the circle in the next series have five dots.
Option B should be the correct answer.
Find x in this proportion. x/3 = x+2/5 x =
[tex]x = 3 \\ solution \\ \frac{x}{3} = \frac{x + 2}{5} \\ or \: 5x = 3(x + 2)(cross \: multiplication) \\ or \: 5x = 3x + 6 \\or \: 5x - 3x = 6 \\ or \: 2x = 6 \\ or \: x = \frac{6}{2} \\ x = 3 \\ hope \: it \: helps[/tex]
A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).
What are the coordinates of the point where the two lines intersect?
Answer:
P(-4,-8)
Step-by-step explanation:
Given two lines:
[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]
To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).
[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]
Therefore, the intersection point P of the lines is: P(-4,-8)
